Compressible helical turbulence: Fastened-structure geometry and statistics
arXiv:1910.04638 · doi:10.1063/5.0031108
Abstract
Reduction of flow compressibility with the corresponding ideally invariant helicities, universally for various fluid models of neutral and ionized gases, can be argued statistically and associated with the geometrical scenario in the Taylor-Proudman theorem and its analogues. A `chiral base flow/field', rooted in the generic intrinsic local structure, as well as an `equivalence principle' is explained and used to bridge the single-structure mechanics and the helical statistics. The electric field fluctuations may similarly be depressed by the (self-)helicities of the two-fluid plasma model, with the geometry lying in the relation between the electric and density fields in a Maxwell equation.
arXiv comment1 figure
References in corpus (27)
- The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence
- Inverse energy cascade in three-dimensional isotropic turbulence
- Inverse cascade in decaying 3D magnetohydrodynamic turbulence
- Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
- Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
- Rapid directional alignment of velocity and magnetic field in magnetohydrodynamic turbulence
- The interplay between helicity and rotation in turbulence: implications for scaling laws and small-scale dynamics
- Turbulence in non-integer dimensions by fractal Fourier decimation
- Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
- Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
- Helicity, Topology and Kelvin Waves in reconnecting quantum knots
- Evaluation of Vortex Criteria by Virtue of the Quadruple Decomposition of Velocity Gradient Tensor
- Purely helical absolute equilibria and chirality of (magneto)fluid turbulence
- Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence
- Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
- Conservation laws and evolution schemes in geodesic, hydrodynamic and magnetohydrodynamic flows
- Gyrokinetic statistical absolute equilibrium and turbulence
- Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
- Turbulent Diffusion of Lines and Circulations
- On the structure and statistical theory of turbulence of extended magnetohydrodynamics
- Vorticity and helicity decompositions and dynamics with real Schur form of the velocity gradient
- Acceleration of Particles in Imbalanced Magnetohydrodynamic Turbulence
- Isotropic polarization of compressible flows
- Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
- Local invariants in non-ideal flows of neutral fluids and two-fluid plasmas
- Chirality, extended MHD statistics and solar wind turbulence
- Fast rotating flows in high spatial dimensions